| 球面散布数据点插值的误差估计 |
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| 引用本文： | 陈志祥. 球面散布数据点插值的误差估计[J]. 浙江大学学报(理学版), 2009, 36(2): 132-136. DOI: 10.3785/j.issn.1008-9497.2009.02.004 |
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| 作者姓名： | 陈志祥 |
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| 作者单位： | 绍兴文理学院,数学系,浙江,绍兴,312000 |
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| 基金项目： | 国家自然科学基金，浙江省自然科学基金 |
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| 摘 要： | 讨论球面上散布数据点插值的误差估计问题．一方面用深刻的新概念——正规生成集对插值节点集的特性进行刻画，同时给出它与基本系统、网格范数间的关系；另一方面得到了插值误差及导数的点态估计．
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| 关 键 词： | 球调和多项式 插值 再生核Hilbert空间 基本系统 |
Error estimates for scattered data interpolation on spheres |
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| CHEN Zhi-xiang. Error estimates for scattered data interpolation on spheres[J]. Journal of Zhejiang University(Sciences Edition), 2009, 36(2): 132-136. DOI: 10.3785/j.issn.1008-9497.2009.02.004 |
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| Authors: | CHEN Zhi-xiang |
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| Affiliation: | Department of Mathematics;Shaoxing College of Arts and Science;Shaoxing 312000;Zhejiang Province;China |
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| Abstract: | The error estimates for scattered data interpolants on spheres are discussed. On one hand,the interpolation nodal set is described by the new profound concept-normal generating set,and the relations to fundamental system and mesh norm are given. On the other hand, the pointwise error estimates for interpolants and their derivatives are obtained. |
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| Keywords: | spherical harmonic polynomial interpolant reproducing kernel Hilbert space fundamental system |
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